Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bw |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4114578975806250000 = 24 · 314 · 58 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2552963,1565955281] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:5852:1] |
Generators of the group modulo torsion |
j |
117770700609816945769/263333054451600 |
j-invariant |
L |
8.4075479810395 |
L(r)(E,1)/r! |
Ω |
0.24732402684599 |
Real period |
R |
4.24925758739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130m2 |
Quadratic twists by: 5 |